Given numbers are 109,109,145,235

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 109,109,145,235 is 742835.

Find LCM of 109,109,145,235 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

5 x 109 x 1 x 1 x 29 x 47 = 742835

Therefore, the lowest common multiple of 109,109,145,235 is 742835.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

109 x 109 x 145 x 235 = 404845075

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

109 : 1, 109

109 : 1, 109

145 : 1, 5, 29, 145

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,109,145,235, is 1.

Now, the common factors can be found like this.

109:109

109:109

145:5x 29

235:5x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 109 = 545

Therefore, the value for common factors is 545.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 404845075/(1x545)

LCM = 404845075/545

LCM = 742835

Thus, we can understand that the LCM of 109,109,145,235 is 742835.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 638, 221, 371, 231
• LCM of 495, 410, 542, 320
• LCM of 146, 370, 482, 478
• LCM of 252, 353, 594, 703
• LCM of 228, 601, 460, 596

1. What is the LCM of 109, 109, 145, 235?

Answer: LCM of 109, 109, 145, 235 is 742835.

2. How to calculate the LCM of 109, 109, 145, 235?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 109, 109, 145, 235.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.